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Class 12 Mathematics Chapter 5 Continuity And Differentiability Quiz 1 (25 MCQs)

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1. Differential coefficient of sec $\left(ten^{-1}x\right)$
2. Define a removable discontinuity.
3. If y= $\sin^{-1}\left(\frac{1-x^2}{1+x^2}\right)$ $\frac{\text{d}y}{dx\text{}}$
4. Find dy/dx at the given pointx$^{3}$ +2xy-y$^{2}$=11 at (2, 3)
5. F(x) = $\frac{\sin\left(\pi x\right)}{5x}$ $\ne$
6. If y=a(1-cos $\theta$ $\left(\theta+\sin\theta\right)$ $\theta$ $\frac{\text{d}y}{\text{d}x}$
7. If f(x)=[kx+1 if $x\le5$ $x>5$
8. Trigonometric and inverse-trigonometric functions are differentiable in their respective domain.
9. Is $f\left(x\right)=\frac{x^2-9}{x-3}$ $x=3?$
10. Y = |x-1| is a continuous function.
11. Find the slope of the tangent line of y= t$^{3}$-4t$^{2}$ +1 at the point where t=3
12. If a function is differentiable at a point then
13. Number of points of discontinuity of a function f(x) = [x] in the interval (-1, 2) where [x] represent greatest integer function less than or equal to x
14. Which one of the following is not true?
15. The slope of a function is described by its .....
16. What is the derivative of the function f(x) = sin(x)?
17. $f\left(x\right)=\frac{\left(1-\cos x\right)}{x\sin x}, $ $\ne$
18. Find the derivative:y=5x$^{2}$e$^{3x}$
19. What is the relationship between continuity and differentiability?
20. Which of the following points is not the point of discontinuity of $f\left(x\right)=\frac{x-7}{x^3-x^2-11x+3}?$
21. F(x) = $\sqrt[]{1-\sqrt[]{1-x^2}}$
22. The function f given by f(x) = $\left|x+3\right|$ $\in$
23. True or False:Differentiability implies continuity
24. The second order derivative of log x with respect to x is
25. Which of the following statements is true regarding the existence of limits?
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